Weakly Picard Pairs of Multifunctions
The purpose of this paper is to present a general answer for the following problem: Let <img border=0 width=43 height=21 src="http:/fbpe/img/cubo/v12n1/img33.jpg">be a metric space and <img border=0 width=45 height=21 src="http:/fbpe/img/cubo/v12n1/img34.jpg"><img...
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Lenguaje: | English |
Publicado: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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Materias: | |
Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100006 |
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Sumario: | The purpose of this paper is to present a general answer for the following problem: Let <img border=0 width=43 height=21 src="http:/fbpe/img/cubo/v12n1/img33.jpg">be a metric space and <img border=0 width=45 height=21 src="http:/fbpe/img/cubo/v12n1/img34.jpg"><img border=0 width=130 height=27 src="http:/fbpe/img/cubo/v12n1/img8.jpg">two multifunctions. Determine the metric conditions which imply that <img border=0 width=52 height=22 src="http:/fbpe/img/cubo/v12n1/img35.jpg">is a weakly Picard pair of multifunctions and <img border=0 width=45 height=21 src="http:/fbpe/img/cubo/v12n1/img34.jpg">are weakly Picard multifunctions , for multifunctions satisfying an implicit contractive condition, generalizing some results from <img border=0 width=69 height=29 src="http:/fbpe/img/cubo/v12n1/img36.jpg">. |
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